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• 59 An illusionist and their assistant are about to perform the following magic trick
• 56 $7$ fishermen caught exactly 100 fish and no two had caught the same number of fish. Then there are three who have together captured at least 50 fish.
• 51 How do you correctly reason that this directed graph is acyclic?
• 46 Polynomial division: an obvious trick? [reducing mod $\textit{simpler}$ multiples]
• 45 How to prove that $\sqrt{2+\sqrt3}-\sqrt{2-\sqrt3}=\sqrt2$ without squaring both sides
• 43 How do you explain to a 5th grader why division by zero is meaningless?
• 39 What is the closed form of the $f$ with $f(1)=1$, $f(2)=7$ and $f(n)=7f(n-1)-12f(n-2)$ ($n\ge 3$)?
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